Take a look at linear functions in a new environment. A three-stage algebra project first asks learners to model the salt concentration of an aquarium using linear functions. Then, using iterations, pupils create a set of input-output...

Learning to break apart numbers into smaller pairs is a critical step young mathematicians take as they develop their number sense. To practice this skill, children are provided with sets of three numbers and are asked to pick the two...

Ever feel like you're headed up the down escalator? Don't let your pupils get stuck in that rut! Practice writing equations to solve a problem using an engaging lesson. A video presents information that allows learners to determine how...

Read between the lines to find a solution. Budding mathematicians analyze a situation to solve a problem. They view a video presentation of the problem, brainstorm important information to gather, and write linear equations to find...

Learning how numbers are put together as parts and wholes is a big step in building the foundational number sense of young mathematicians. Here, children are given a number less than 10 and are asked to find as many pairs of numbers as...

You would think that humans make up more mass than ants do on this planet, but think again, and this time by performing calculations. Middle schoolers use scientific notation to compute and compare the estimated total mass of all humans...

Make the most of your prom—with math! Pupils write and use a quadratic model to determine the optimal price of prom tickets. After determining the costs associated with the event, learners use a graph to analyze the break even point(s).

Would you rather have a bowl of dimes or a bowl of quarters? A video introduces the problem by presenting two bowls, one full of quarters and another full of dimes. Learners use information from a CoinStar receipt to calculate the number...

Challenge your classes while developing their problem-solving skills. A square is divided neatly into four equal triangles by its diagonals until one diagonal is moved from a vertex to the midpoint of one side. Now, scholars must devise...

Find the age of a fictional sample of rocks using a genuine approach. A well-designed lesson asks young mathematicians to use exponential modeling to analyze half-life. As a project-based learning activity, scholars communicate...

What starts as a basic question of division and remainders quickly turns abstract in this question of related ratios and radii. The class works to surround a central coin with coins of the same and different values, then develops a...

How many cups does it take to reach the top? Learners attempt to answer this through a series of questions. They collect dimension information and apply it to creating a function. The lesson encourages various solution methods and...

Mathematicians need to know that not all numbers are rational. We approximate irrational number with rational numbers. That is why a calculator may be misleading. This task give learners an opportunity to see how rounding a number and...

Now you see them, now you don't! This fun peek-a-boo activity engages young mathematicians in developing their ability to compose and decompose numbers. After being presented with a series of counters, children close their eyes while the...

Will harm come to the child in the video? Find out by modeling the scenario mathematically! Learners represent the situation with a quadratic model before deciding on a maximum height and time the person is in the air. Too low or not...

This quick set of problems provides a brief refresher on the arithmetic of complex numbers. Learners need to multiply, add and subtract, and remember features of i when raised to a power. Included solutions are clear enough that...

An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas...

Explore Snell's Law using thin films. In the fifth installment of a seven-part series, pupils solve a set of problems relating to Snell's Law and use this skill during an experiment requiring the collection of reflective measurements...

This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...